How would a creature limited to two dimensions be able to grasp the possibility of a third? Edwin A. Abbott's droll and delightful "romance of many dimensions" explores this conundrum in the experiences of his protagonist, A Square, whose linear world is invaded by an emissary Sphere bringing the gospel of the third dimension. Part geometry lesson, part social satire, this classic work of science fiction brilliantly succeeds in enlarging all readers' imaginations beyond the limits of their "respective dimensional prejudices." This new edition begins with an introduction by Rosemary Jann that illuminates the social and intellectual context that produced the work and explains its relationship to the theological issues central to Abbott's career. It also provides the most extensive discussion to date of the class and gender issues raised by the text and of the debates over the limits of scientific and mathematical knowledge in which it participated. Flatland's unique combination of astute social, philosophical, and mathematical observations with wit and humor can be read at many different levels, and will prove especially enjoyable to readers of Victorian literature and philosophy.

Review&colon;

Flatland is one of the very few novels about math and philosophy that can appeal to almost any layperson. Published in 1880, this short fantasy takes us to a completely flat world of two physical dimensions where all the inhabitants are geometric shapes, and who think the planar world of length and width that they know is all there is. But one inhabitant discovers the existence of a third physical dimension, enabling him to finally grasp the concept of a fourth dimension. Watching our Flatland narrator, we begin to get an idea of the limitations of our own assumptions about reality, and we start to learn how to think about the confusing problem of higher dimensions. The book is also quite a funny satire on society and class distinctions of Victorian England.

From the Back Cover&colon;

Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world. The introduction to this Broadview Edition provides context for the book's references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz's "The Axioms of Geometry" (1870); and autobiographical passages from Abbott's The Kernel and the Husk (1886).

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